内孔缝位置对嵌套腔体微波耦合特性的影响

 利用时域有限差分（FDTD）方法计算了不同内孔缝位置情况下微波脉冲与带缝嵌套圆柱形腔体系统的耦合过程；分别分析了内孔缝位置对外部带缝腔体和内部带缝腔体耦合特性的影响。结果表明:除了内孔缝附近区域以外，内孔缝位置对外腔耦合特性的影响很小，可以忽略不计；但内孔缝位置对内腔耦合特性的影响较大，而且内腔的屏蔽性能由外腔内的耦合场分布以及内孔缝的位置共同决定。     

2,2′:6′,2″-联三吡啶配体的合成

近年来,2,2′:6′,2″-联三吡啶作为典型的三齿有机杂环配体在超分子化学与材料化学领域得到广泛应用。通过取代基团对配体的结构修饰或改变金属离子的类型可以调控联三吡啶金属络合物的光物理和电化学性能,从而得到多种不同用途的功能化材料及超分子组装体。本文对单核联三吡啶配体近年来发展的典型合成方法加以阐述,并简单介绍联三吡啶配体在超分子化学中的应用。     

超导滤波器专用设计软件

开发了一套适用于高温超导滤波器设计的专用软件。利用该软件可快速得出高达20阶的任意结构的任意类型滤波器的传输方程、原型电路,并提取出其耦合系数矩阵。该软件可分析寄生耦合、基片厚度,介电常数误差等对滤波器的性能影响,并能由蒙特卡罗(Monte Carlo)法预测超导滤波器的产品合格率。此外,该软件提供了一个基于神经网络模型的计算机辅助调谐工具包。因而可解决超导滤波器设计、调谐的几乎所有问题,大大降低了其研制的难度和产业化的门槛。     

Implementing pure adaptive search for global optimization using Markov chain sampling

The Pure Adaptive Search (PAS) algorithm for global optimization yields a sequence of points, each of which is uniformly distributed in the level set corresponding to its predecessor. This algorithm has the highly desirable property of solving a large class of global optimization problems using a number of iterations that increases at most linearly in the dimension of the problem. Unfortunately, PAS has remained of mostly theoretical interest due to the difficulty of generating, in each iteration, a point uniformly distributed in the improving feasible region. In this article, we derive a coupling equivalence between generating an approximately uniformly distributed point using Markov chain sampling, and generating an exactly uniformly distributed point with a certain probability. This result is used to characterize the complexity of a PAS-implementation as a function of (a) the number of iterations required by PAS to achieve a certain solution quality guarantee, and (b) the complexity of the sampling algorithm used. As an application, we use this equivalence to show that PAS, using the so-called Random ball walk Markov chain sampling method for generating nearly uniform points in a convex region, can be used to solve most convex programming problems in polynomial time.     

A comparison of rigid and flexible crosslinked polymer-supported peptide synthesis

To correlate the coupling difficulty and nature of the support in solid-phase peptide synthesis, a set of difficult peptides were built under identical conditions on rigid and hydrophobic divinyl benzene-crosslinked polystyrene (DVB-PS) and flexible and polar 1,4-butanediol dimethacrylate-crosslinked polystyrene (BDDMA-PS) resins of same functional capacity (∼2 mmol/g). The difficult coupling stages observed on each support were identified by monitoring the acylation time, coupling yield and deprotection efficiency. The yield and purity of the peptides prepared on BDDMA-PS were higher than when DVB-PS support was used.     

Multi-Particle Processes with Reinforcements

We consider a multi-particle generalization of linear edge-reinforced random walk (ERRW). We observe that in absence of exchangeability, new techniques are needed in order to study the multi-particle model. We describe an unusual coupling construction associated with the two-point edge-reinforced process on ℤ and prove a form of recurrence: the two particles meet infinitely often a.s. This research was supported in part by NSF VIGRE Grant DMS 9983726 at UCLA.     

On the stability of jump-diffusions with Markovian switching

In this paper we consider the stability for a class of jump-diffusions with Markovian switching. We first construct them successively and show that they can be associated with some appropriate generators and they are non-explosive. We then prove their Feller continuity by the coupling methods. Furthermore, we also prove their strong Feller continuity by making use of the relation between the transition probabilities of jump-diffusions and the corresponding diffusions. Finally, we also investigate their exponential ergodicity.     

A novel efficient synthetic method for 2,2＇,3,3＇-biphenyltetracarboxylic dianhydride

A novel approach to the synthesis of 2,2',3,3'-biphenyltetracarboxylic dianhydride is described. The target compound was prepared by a nickel-catalyzed coupling reaction of dimethy 3-chlorophthalate (3-DMCP) for 4 h at 70-80℃, followed by subsequent hydrolysis of tetra-ester in acid solution and dehydration of tetra-acid, with overall yield of 68%. The structures of the products were characterized by IR, ¹H NMR and ¹³C NMR respectively.     

Critical duality

We look for a general framework in which the Ekeland duality can be formulated. We propose a scheme in which the parameter sets are provided with a coupling function which induces a conjugacy. The decision spaces are not supposed to have any special structure. We examine several examples. In particular, we consider some special classes of generalized convex functions.